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Finding the Fourth Proportional to 266.96, 399.99 and 189.77

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Solution

The fourth proportional to 266.96, 399.99 and 189.77 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.96 : 399.99 = 189.77 : x
  2. Step 2: Convert to fraction form
    266.96/399.99 = 189.77/x
  3. Step 3: Cross multiply
    266.96x = 399.99 × 189.77
  4. Step 4: Simplify right side
    266.96x = 75,906.10
  5. Step 5: Solve for x
    x = 75,906.10/266.96
  6. Step 6: Final answer
    x = 284.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.